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Exercise 06.27 Algo (Exponential Probability Distribution) Consider the following exponential probability density function. $f(x) = \frac{1}{3}e^{-\frac{x}{3}}$ for $x \ge 0$ a. Which of the following is the formula for $P(x \le x_0)$? 1 $P(x \le x_0) = e^{-\frac{x_0}{3}}$ 2 $P(x \le x_0) = 1 - e^{-\frac{x_0}{3}}$ 3 $P(x \le x_0) = 1 - e^{-x_0}$ Formula #2 b. Find $P(x \le 1)$ (to 4 decimals). 0.2835 c. Find $P(x \ge 4)$ (to 4 decimals). 0.2656 d. Find $P(x \le 6)$ (to 4 decimals). 0.8647 e. Find $P(1 \le x \le 6)$ (to 4 decimals). 0.5812 Hide Feedback Partially Correct

          Exercise 06.27 Algo (Exponential Probability Distribution)
Consider the following exponential probability density function.
$f(x) = \frac{1}{3}e^{-\frac{x}{3}}$ for $x \ge 0$
a. Which of the following is the formula for $P(x \le x_0)$?
1 $P(x \le x_0) = e^{-\frac{x_0}{3}}$
2 $P(x \le x_0) = 1 - e^{-\frac{x_0}{3}}$
3 $P(x \le x_0) = 1 - e^{-x_0}$
Formula #2
b. Find $P(x \le 1)$ (to 4 decimals).
0.2835
c. Find $P(x \ge 4)$ (to 4 decimals).
0.2656
d. Find $P(x \le 6)$ (to 4 decimals).
0.8647
e. Find $P(1 \le x \le 6)$ (to 4 decimals).
0.5812
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Partially Correct

Exercise 06.27 Algo (Exponential Probability Distribution)
Consider the following exponential probability density function.
f(x) = (1)/(3)e^-(x)/(3) for x ≥ 0
a. Which of the following is the formula for P(x ≤ x0)?
1 P(x ≤ x0) = e^-(x0)/(3)
2 P(x ≤ x0) = 1 - e^-(x0)/(3)
3 P(x ≤ x0) = 1 - e^-x0
Formula #2
b. Find P(x ≤ 1) (to 4 decimals).
0.2835
c. Find P(x ≥ 4) (to 4 decimals).
0.2656
d. Find P(x ≤ 6) (to 4 decimals).
0.8647
e. Find P(1 ≤ x ≤ 6) (to 4 decimals).
0.5812
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Partially Correct

Added by Mark C.

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